Index: include/llvm/Analysis/ScalarEvolution.h
===================================================================
--- include/llvm/Analysis/ScalarEvolution.h
+++ include/llvm/Analysis/ScalarEvolution.h
@@ -1871,6 +1871,16 @@
   /// Assign A and B to LHS and RHS, respectively.
   bool matchURem(const SCEV *Expr, const SCEV *&LHS, const SCEV *&RHS);
 
+  /// Look for a SCEV expression with type `SCEVType` and operands `Ops` in
+  /// `UniqueSCEVs`.
+  ///
+  /// The first component of the returned tuple is the SCEV if found and null
+  /// otherwise.  The second component is the `FoldingSetNodeID` that was
+  /// constructed to look up the SCEV and the third component is the insertion
+  /// point.
+  std::tuple<const SCEV *, FoldingSetNodeID, void *>
+  findExistingSCEVInCache(int SCEVType, ArrayRef<const SCEV *> Ops);
+
   FoldingSet<SCEV> UniqueSCEVs;
   FoldingSet<SCEVPredicate> UniquePreds;
   BumpPtrAllocator SCEVAllocator;
Index: lib/Analysis/ScalarEvolution.cpp
===================================================================
--- lib/Analysis/ScalarEvolution.cpp
+++ lib/Analysis/ScalarEvolution.cpp
@@ -3523,6 +3523,17 @@
   return getSMaxExpr(Ops);
 }
 
+std::tuple<const SCEV *, FoldingSetNodeID, void *>
+ScalarEvolution::findExistingSCEVInCache(int SCEVType,
+                                         ArrayRef<const SCEV *> Ops) {
+  FoldingSetNodeID ID;
+  void *IP = nullptr;
+  ID.AddInteger(SCEVType);
+  for (unsigned i = 0, e = Ops.size(); i != e; ++i)
+    ID.AddPointer(Ops[i]);
+  return {UniqueSCEVs.FindNodeOrInsertPos(ID, IP), std::move(ID), IP};
+}
+
 const SCEV *
 ScalarEvolution::getSMaxExpr(SmallVectorImpl<const SCEV *> &Ops) {
   assert(!Ops.empty() && "Cannot get empty smax!");
@@ -3537,6 +3548,11 @@
   // Sort by complexity, this groups all similar expression types together.
   GroupByComplexity(Ops, &LI, DT);
 
+  // Check if we have created the same SMax expression before.
+  if (const SCEV *S = std::get<0>(findExistingSCEVInCache(scSMaxExpr, Ops))) {
+    return S;
+  }
+
   // If there are any constants, fold them together.
   unsigned Idx = 0;
   if (const SCEVConstant *LHSC = dyn_cast<SCEVConstant>(Ops[0])) {
@@ -3604,16 +3620,16 @@
 
   // Okay, it looks like we really DO need an smax expr.  Check to see if we
   // already have one, otherwise create a new one.
+  const SCEV *ExistingSCEV;
   FoldingSetNodeID ID;
-  ID.AddInteger(scSMaxExpr);
-  for (unsigned i = 0, e = Ops.size(); i != e; ++i)
-    ID.AddPointer(Ops[i]);
-  void *IP = nullptr;
-  if (const SCEV *S = UniqueSCEVs.FindNodeOrInsertPos(ID, IP)) return S;
+  void *IP;
+  std::tie(ExistingSCEV, ID, IP) = findExistingSCEVInCache(scSMaxExpr, Ops);
+  if (ExistingSCEV)
+    return ExistingSCEV;
   const SCEV **O = SCEVAllocator.Allocate<const SCEV *>(Ops.size());
   std::uninitialized_copy(Ops.begin(), Ops.end(), O);
-  SCEV *S = new (SCEVAllocator) SCEVSMaxExpr(ID.Intern(SCEVAllocator),
-                                             O, Ops.size());
+  SCEV *S =
+      new (SCEVAllocator) SCEVSMaxExpr(ID.Intern(SCEVAllocator), O, Ops.size());
   UniqueSCEVs.InsertNode(S, IP);
   addToLoopUseLists(S);
   return S;
@@ -3639,6 +3655,11 @@
   // Sort by complexity, this groups all similar expression types together.
   GroupByComplexity(Ops, &LI, DT);
 
+  // Check if we have created the same UMax expression before.
+  if (const SCEV *S = std::get<0>(findExistingSCEVInCache(scUMaxExpr, Ops))) {
+    return S;
+  }
+
   // If there are any constants, fold them together.
   unsigned Idx = 0;
   if (const SCEVConstant *LHSC = dyn_cast<SCEVConstant>(Ops[0])) {
@@ -3707,12 +3728,12 @@
 
   // Okay, it looks like we really DO need a umax expr.  Check to see if we
   // already have one, otherwise create a new one.
+  const SCEV *ExistingSCEV;
   FoldingSetNodeID ID;
-  ID.AddInteger(scUMaxExpr);
-  for (unsigned i = 0, e = Ops.size(); i != e; ++i)
-    ID.AddPointer(Ops[i]);
-  void *IP = nullptr;
-  if (const SCEV *S = UniqueSCEVs.FindNodeOrInsertPos(ID, IP)) return S;
+  void *IP;
+  std::tie(ExistingSCEV, ID, IP) = findExistingSCEVInCache(scUMaxExpr, Ops);
+  if (ExistingSCEV)
+    return ExistingSCEV;
   const SCEV **O = SCEVAllocator.Allocate<const SCEV *>(Ops.size());
   std::uninitialized_copy(Ops.begin(), Ops.end(), O);
   SCEV *S = new (SCEVAllocator) SCEVUMaxExpr(ID.Intern(SCEVAllocator),
Index: test/Analysis/ScalarEvolution/max-expr-cache.ll
===================================================================
--- /dev/null
+++ test/Analysis/ScalarEvolution/max-expr-cache.ll
@@ -0,0 +1,156 @@
+; RUN: opt < %s -analyze -scalar-evolution | FileCheck %s
+
+; SCEV would take a long time to compute SCEV expressions for this IR.  If SCEV
+; finishes in < 1 second then the bug is fixed.
+
+target datalayout = "e-m:e-i64:64-f80:128-n8:16:32:64-S128"
+target triple = "x86_64--linux-gnu"
+
+define void @smax(i32 %tmp3) {
+ ; CHECK-LABEL: Printing analysis 'Scalar Evolution Analysis' for function 'smax'
+entry:
+  br label %bb4
+
+bb4:
+  %tmp5 = phi i64 [ %tmp62, %bb61 ], [ 0, %entry ]
+  %tmp6 = trunc i64 %tmp5 to i32
+  %tmp7 = shl nsw i32 %tmp6, 8
+  %tmp8 = sub nsw i32 %tmp3, %tmp7
+  %tmp9 = icmp slt i32 %tmp8, 256
+  %tmp10 = select i1 %tmp9, i32 %tmp8, i32 256
+  %tmp11 = add nsw i32 %tmp10, 1
+  %tmp12 = icmp sgt i32 %tmp8, %tmp11
+  %tmp13 = select i1 %tmp12, i32 %tmp11, i32 %tmp8
+  %tmp14 = icmp slt i32 %tmp13, 256
+  %tmp15 = select i1 %tmp14, i32 %tmp13, i32 256
+  %tmp16 = add nsw i32 %tmp15, 1
+  %tmp17 = icmp sgt i32 %tmp8, %tmp16
+  %tmp18 = select i1 %tmp17, i32 %tmp16, i32 %tmp8
+  %tmp19 = icmp slt i32 %tmp18, 256
+  %tmp20 = select i1 %tmp19, i32 %tmp18, i32 256
+  %tmp21 = add nsw i32 %tmp20, 1
+  %tmp22 = icmp sgt i32 %tmp8, %tmp21
+  %tmp23 = select i1 %tmp22, i32 %tmp21, i32 %tmp8
+  %tmp24 = icmp slt i32 %tmp23, 256
+  %tmp25 = select i1 %tmp24, i32 %tmp23, i32 256
+  %tmp26 = add nsw i32 %tmp25, 1
+  %tmp27 = icmp sgt i32 %tmp8, %tmp26
+  %tmp28 = select i1 %tmp27, i32 %tmp26, i32 %tmp8
+  %tmp29 = icmp slt i32 %tmp28, 256
+  %tmp30 = select i1 %tmp29, i32 %tmp28, i32 256
+  %tmp31 = add nsw i32 %tmp30, 1
+  %tmp32 = icmp sgt i32 %tmp8, %tmp31
+  %tmp33 = select i1 %tmp32, i32 %tmp31, i32 %tmp8
+  %tmp34 = icmp slt i32 %tmp33, 256
+  %tmp35 = select i1 %tmp34, i32 %tmp33, i32 256
+  %tmp36 = add nsw i32 %tmp35, 1
+  %tmp37 = icmp sgt i32 %tmp8, %tmp36
+  %tmp38 = select i1 %tmp37, i32 %tmp36, i32 %tmp8
+  %tmp39 = icmp slt i32 %tmp38, 256
+  %tmp40 = select i1 %tmp39, i32 %tmp38, i32 256
+  %tmp41 = add nsw i32 %tmp40, 1
+  %tmp42 = icmp sgt i32 %tmp8, %tmp41
+  %tmp43 = select i1 %tmp42, i32 %tmp41, i32 %tmp8
+  %tmp44 = add nsw i32 %tmp10, 7
+  %tmp45 = icmp slt i32 %tmp43, 256
+  %tmp46 = select i1 %tmp45, i32 %tmp43, i32 256
+; CHECK:  %tmp46 = select i1 %tmp45, i32 %tmp43, i32 256
+; CHECK-NEXT:  -->  (-1 + (-1 * (-257 smax (-1 + (-257 smax (-1 + (-257 smax (-1 + (-257 smax (-1 + (-257 smax (-1 + (-257 smax (-1 + (-257 smax (-1 + (-257 smax {(-1 + (-1 * %tmp3)),+,256}<%bb4>))<nsw> smax {(-1 + (-1 * %tmp3)),+,256}<%bb4>))<nsw> smax {(-1 + (-1 * %tmp3)),+,256}<%bb4>))<nsw> smax {(-1 + (-1 * %tmp3)),+,256}<%bb4>))<nsw> smax {(-1 + (-1 * %tmp3)),+,256}<%bb4>))<nsw> smax {(-1 + (-1 * %tmp3)),+,256}<%bb4>))<nsw> smax {(-1 + (-1 * %tmp3)),+,256}<%bb4>))<nsw> smax {(-1 + (-1 * %tmp3)),+,256}<%bb4>))<nsw>)<nsw>
+  %tmp47 = icmp sgt i32 %tmp44, %tmp46
+  %tmp48 = select i1 %tmp47, i32 %tmp44, i32 %tmp46
+  %tmp49 = ashr i32 %tmp48, 3
+  %tmp50 = icmp sgt i32 %tmp49, 0
+  %tmp51 = select i1 %tmp50, i32 %tmp49, i32 0
+  %tmp52 = zext i32 %tmp51 to i64
+  br label %bb53
+
+bb53:
+  %tmp54 = phi i64 [ undef, %bb4 ], [ %tmp59, %bb53 ]
+  %tmp55 = trunc i64 %tmp54 to i32
+  %tmp56 = shl nsw i32 %tmp55, 3
+  %tmp57 = sext i32 %tmp56 to i64
+  %tmp58 = getelementptr inbounds i8, i8* null, i64 %tmp57
+  store i8 undef, i8* %tmp58, align 8
+  %tmp59 = add nsw i64 %tmp54, 1
+  %tmp60 = icmp eq i64 %tmp59, %tmp52
+  br i1 %tmp60, label %bb61, label %bb53
+
+bb61:
+  %tmp62 = add nuw nsw i64 %tmp5, 1
+  br label %bb4
+}
+
+
+define void @umax(i32 %tmp3) {
+; CHECK-LABEL: Printing analysis 'Scalar Evolution Analysis' for function 'umax'
+entry:
+  br label %bb4
+
+bb4:
+  %tmp5 = phi i64 [ %tmp62, %bb61 ], [ 0, %entry ]
+  %tmp6 = trunc i64 %tmp5 to i32
+  %tmp7 = shl nsw i32 %tmp6, 8
+  %tmp8 = sub nsw i32 %tmp3, %tmp7
+  %tmp9 = icmp ult i32 %tmp8, 256
+  %tmp10 = select i1 %tmp9, i32 %tmp8, i32 256
+  %tmp11 = add nsw i32 %tmp10, 1
+  %tmp12 = icmp ugt i32 %tmp8, %tmp11
+  %tmp13 = select i1 %tmp12, i32 %tmp11, i32 %tmp8
+  %tmp14 = icmp ult i32 %tmp13, 256
+  %tmp15 = select i1 %tmp14, i32 %tmp13, i32 256
+  %tmp16 = add nsw i32 %tmp15, 1
+  %tmp17 = icmp ugt i32 %tmp8, %tmp16
+  %tmp18 = select i1 %tmp17, i32 %tmp16, i32 %tmp8
+  %tmp19 = icmp ult i32 %tmp18, 256
+  %tmp20 = select i1 %tmp19, i32 %tmp18, i32 256
+  %tmp21 = add nsw i32 %tmp20, 1
+  %tmp22 = icmp ugt i32 %tmp8, %tmp21
+  %tmp23 = select i1 %tmp22, i32 %tmp21, i32 %tmp8
+  %tmp24 = icmp ult i32 %tmp23, 256
+  %tmp25 = select i1 %tmp24, i32 %tmp23, i32 256
+  %tmp26 = add nsw i32 %tmp25, 1
+  %tmp27 = icmp ugt i32 %tmp8, %tmp26
+  %tmp28 = select i1 %tmp27, i32 %tmp26, i32 %tmp8
+  %tmp29 = icmp ult i32 %tmp28, 256
+  %tmp30 = select i1 %tmp29, i32 %tmp28, i32 256
+  %tmp31 = add nsw i32 %tmp30, 1
+  %tmp32 = icmp ugt i32 %tmp8, %tmp31
+  %tmp33 = select i1 %tmp32, i32 %tmp31, i32 %tmp8
+  %tmp34 = icmp ult i32 %tmp33, 256
+  %tmp35 = select i1 %tmp34, i32 %tmp33, i32 256
+  %tmp36 = add nsw i32 %tmp35, 1
+  %tmp37 = icmp ugt i32 %tmp8, %tmp36
+  %tmp38 = select i1 %tmp37, i32 %tmp36, i32 %tmp8
+  %tmp39 = icmp ult i32 %tmp38, 256
+  %tmp40 = select i1 %tmp39, i32 %tmp38, i32 256
+  %tmp41 = add nsw i32 %tmp40, 1
+  %tmp42 = icmp ugt i32 %tmp8, %tmp41
+  %tmp43 = select i1 %tmp42, i32 %tmp41, i32 %tmp8
+  %tmp44 = add nsw i32 %tmp10, 7
+  %tmp45 = icmp ult i32 %tmp43, 256
+  %tmp46 = select i1 %tmp45, i32 %tmp43, i32 256
+; CHECK:  %tmp46 = select i1 %tmp45, i32 %tmp43, i32 256
+; CHECK-NEXT:  -->  (-1 + (-1 * (-257 umax (-1 + (-257 umax (-1 + (-257 umax (-1 + (-257 umax (-1 + (-257 umax (-1 + (-257 umax (-1 + (-257 umax (-1 + (-257 umax {(-1 + (-1 * %tmp3)),+,256}<%bb4>))<nsw> umax {(-1 + (-1 * %tmp3)),+,256}<%bb4>))<nsw> umax {(-1 + (-1 * %tmp3)),+,256}<%bb4>))<nsw> umax {(-1 + (-1 * %tmp3)),+,256}<%bb4>))<nsw> umax {(-1 + (-1 * %tmp3)),+,256}<%bb4>))<nsw> umax {(-1 + (-1 * %tmp3)),+,256}<%bb4>))<nsw> umax {(-1 + (-1 * %tmp3)),+,256}<%bb4>))<nsw> umax {(-1 + (-1 * %tmp3)),+,256}<%bb4>))<nsw>)<nsw>  
+  %tmp47 = icmp ugt i32 %tmp44, %tmp46
+  %tmp48 = select i1 %tmp47, i32 %tmp44, i32 %tmp46
+  %tmp49 = ashr i32 %tmp48, 3
+  %tmp50 = icmp ugt i32 %tmp49, 0
+  %tmp51 = select i1 %tmp50, i32 %tmp49, i32 0
+  %tmp52 = zext i32 %tmp51 to i64
+  br label %bb53
+
+bb53:
+  %tmp54 = phi i64 [ undef, %bb4 ], [ %tmp59, %bb53 ]
+  %tmp55 = trunc i64 %tmp54 to i32
+  %tmp56 = shl nsw i32 %tmp55, 3
+  %tmp57 = sext i32 %tmp56 to i64
+  %tmp58 = getelementptr inbounds i8, i8* null, i64 %tmp57
+  store i8 undef, i8* %tmp58, align 8
+  %tmp59 = add nsw i64 %tmp54, 1
+  %tmp60 = icmp eq i64 %tmp59, %tmp52
+  br i1 %tmp60, label %bb61, label %bb53
+
+bb61:
+  %tmp62 = add nuw nsw i64 %tmp5, 1
+  br label %bb4
+}